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A can of Pepsi is supposed to have a mean volume of 12 ounces. Both overfilling

ID: 3154912 • Letter: A

Question

A can of Pepsi is supposed to have a mean volume of 12 ounces. Both overfilling and under-filling are undesirable. If either occurs, the machine that fills the cans has to be readjusted. The bottling company wants to set up a hypothesis test so that the machine has to be readjusted if the null hypothesis is rejected. Set up the null and alternative hypothesis for this test.

H0 : µ = 12 and Ha : µ > 12

H0 : µ = 12 and Ha : µ 12

H0 : = 12 and Ha : 12

H0 : µ = 12 and Ha : µ < 12

a.

H0 : µ = 12 and Ha : µ > 12

b.

H0 : µ = 12 and Ha : µ 12

c.

H0 : = 12 and Ha : 12

d.

H0 : µ = 12 and Ha : µ < 12

Explanation / Answer

Since both overfilling and under-filling are undesirable so test will two tailed. Hypotheses are:

H0 : µ = 12 and Ha : µ 12

b.

H0 : µ = 12 and Ha : µ 12